Questions: ∛81 - ∛24

Transcript text: $\sqrt[3]{81}-\sqrt[3]{24}$

Solution

Step 1: Calculate the Cube Roots

We first calculate the cube roots of 81 and 24: \[ \sqrt[3]{81} \approx 4.3267 \] \[ \sqrt[3]{24} \approx 2.8845 \]

Step 2: Subtract the Cube Roots

Next, we subtract the cube root of 24 from the cube root of 81: \[ \sqrt[3]{81} - \sqrt[3]{24} \approx 4.3267 - 2.8845 \approx 1.4422 \]

The final result of the expression $ \sqrt[3]{81} - \sqrt[3]{24} $ is \[ \boxed{1.4422} \]

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